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Directional Derivative Demo by Servando Pineda-Carranza

Directional Derivative Demo by Servando Pineda-Carranza
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2019-03-16 05:44
VectorCoordinate GeometryCalculusDerivative
This example demonstrates the geometric interpretation of directional derivatives by dynamically showing the rate of change of a function at a point along any direction using vectors. Key math concepts include directional derivatives, gradients, vector operations, and analytical geometry. GeoGebra commands/objects used in construction are Vector, CurveCartesian, P1, θ, C, a, u, v, t, D, b. Suitable for calculus courses or student exploration.

GeoGebra Commands & Parameters

  1. Vector(P_{1}, C) → u
  2. Vector(P, (cos(θ) + 2, sin(θ) + 3, 433 / 144)) → v
  3. CurveCartesian(2 + (t * cos(θ)), 3 + (t * sin(θ)), (2 + (t * cos(θ)))^(2) / 9 + (3 + (t * sin(θ)))^(2) / 16 + 2, t, 0, 10) → b